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Integral of d{x}:
Integral of 1÷x
Integral of 1/(2*x)
Integral of 1/(1+sin(x))
Integral of x^3*e^x*dx
Derivative of:
x^3-1
Factor polynomial:
x^3-1
Graphing y =:
x^3-1
Identical expressions
x^ three - one
x cubed minus 1
x to the power of three minus one
x3-1
x³-1
x to the power of 3-1
x^3-1dx
Similar expressions
3*sin(x)+4*x^3-1/x
x^3+1
1/(sqrt(3)(x^3-1))

Solving integrals/ x^3-1

Integral of x^3-1 dx

The solution

You have entered [src]

  2            
  /            
 |             
 |  / 3    \   
 |  \x  - 1/ dx
 |             
/              
0

$$\int\limits_{0}^{2} \left(x^{3} - 1\right)\, dx$$

Integral(x^3 - 1, (x, 0, 2))

Detail solution

Integrate term-by-term:
1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int x^{3}\, dx = \frac{x^{4}}{4}$
1. The integral of a constant is the constant times the variable of integration:
  
  $\int \left(-1\right)\, dx = - x$
The result is: $\frac{x^{4}}{4} - x$
Add the constant of integration:

$\frac{x^{4}}{4} - x+ \mathrm{constant}$

The answer is:

$\frac{x^{4}}{4} - x+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                        
 |                        4
 | / 3    \              x 
 | \x  - 1/ dx = C - x + --
 |                       4 
/

$$\int \left(x^{3} - 1\right)\, dx = C + \frac{x^{4}}{4} - x$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

$$2$$

=

$$2$$

Numerical answer [src]

2.0

2.0

The graph

Integral of x^3-1 dx

Use the examples entering the upper and lower limits of integration.